What is expand 200(25-25e^{-200t}) ?

The solution to expand 200(25-25e^{-200t}) is 5000-5000e^{-200t}

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expand 200(25-25e^{-200t})

expand

200 (25 - 25 e^{- 200 t})

5000 - 5000 e^{- 200 t}

Solution steps

200 (25 - 25 e^{- 200 t})

Apply the distributive law:

a (b - c) = ab - a c

a = 200, b = 25, c = 25 e^{- 200 t}

= 200 \cdot 25 - 200 \cdot 25 e^{- 200 t}

Multiply the numbers:

200 \cdot 25 = 5000

= 5000 - 5000 e^{- 200 t}

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What is expand 200(25-25e^{-200t}) ?
The solution to expand 200(25-25e^{-200t}) is 5000-5000e^{-200t}